%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Sat Jul 16 06:31:05 EDT 2022 % Result : Theorem 12.86s 13.07s % Output : Proof 12.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n014.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sat Jun 18 15:33:34 EDT 2022 % 0.12/0.33 % CPUTime : % 12.86/13.07 % SZS status Theorem % 12.86/13.07 (* PROOF-FOUND *) % 12.86/13.07 (* BEGIN-PROOF *) % 12.86/13.07 % SZS output start Proof % 12.86/13.07 1. (distinct_lines T_0 (parallel_through_point T_1 T_2)) (-. (distinct_lines T_0 (parallel_through_point T_1 T_2))) ### Axiom % 12.86/13.07 2. (distinct_lines T_0 T_1) (-. (distinct_lines T_0 T_1)) ### Axiom % 12.86/13.07 3. (-. (convergent_lines T_0 T_1)) (convergent_lines T_0 T_1) ### Axiom % 12.86/13.07 4. ((distinct_lines T_0 T_1) => (convergent_lines T_0 T_1)) (-. (convergent_lines T_0 T_1)) (distinct_lines T_0 T_1) ### Imply 2 3 % 12.86/13.07 5. (All Y, ((distinct_lines T_0 Y) => (convergent_lines T_0 Y))) (distinct_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### All 4 % 12.86/13.07 6. (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (-. (convergent_lines T_0 T_1)) (distinct_lines T_0 T_1) ### All 5 % 12.86/13.07 7. (distinct_lines (parallel_through_point T_1 T_2) T_1) (-. (distinct_lines (parallel_through_point T_1 T_2) T_1)) ### Axiom % 12.86/13.07 8. (convergent_lines (parallel_through_point T_1 T_2) T_1) (-. (convergent_lines (parallel_through_point T_1 T_2) T_1)) ### Axiom % 12.86/13.07 9. (All Y, (-. (convergent_lines (parallel_through_point Y T_2) Y))) (convergent_lines (parallel_through_point T_1 T_2) T_1) ### All 8 % 12.86/13.07 10. (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (convergent_lines (parallel_through_point T_1 T_2) T_1) ### All 9 % 12.86/13.07 11. ((distinct_lines (parallel_through_point T_1 T_2) T_1) => (convergent_lines (parallel_through_point T_1 T_2) T_1)) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (distinct_lines (parallel_through_point T_1 T_2) T_1) ### Imply 7 10 % 12.86/13.07 12. (All Y, ((distinct_lines (parallel_through_point T_1 T_2) Y) => (convergent_lines (parallel_through_point T_1 T_2) Y))) (distinct_lines (parallel_through_point T_1 T_2) T_1) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) ### All 11 % 12.86/13.07 13. ((distinct_lines T_0 (parallel_through_point T_1 T_2)) => ((distinct_lines T_0 T_1) \/ (distinct_lines (parallel_through_point T_1 T_2) T_1))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All Y, ((distinct_lines (parallel_through_point T_1 T_2) Y) => (convergent_lines (parallel_through_point T_1 T_2) Y))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (distinct_lines T_0 (parallel_through_point T_1 T_2)) ### DisjTree 1 6 12 % 12.86/13.07 14. (All Z, ((distinct_lines T_0 (parallel_through_point T_1 T_2)) => ((distinct_lines T_0 Z) \/ (distinct_lines (parallel_through_point T_1 T_2) Z)))) (distinct_lines T_0 (parallel_through_point T_1 T_2)) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (-. (convergent_lines T_0 T_1)) (All Y, ((distinct_lines (parallel_through_point T_1 T_2) Y) => (convergent_lines (parallel_through_point T_1 T_2) Y))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) ### All 13 % 12.86/13.07 15. (All Y, (All Z, ((distinct_lines T_0 Y) => ((distinct_lines T_0 Z) \/ (distinct_lines Y Z))))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All Y, ((distinct_lines (parallel_through_point T_1 T_2) Y) => (convergent_lines (parallel_through_point T_1 T_2) Y))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (distinct_lines T_0 (parallel_through_point T_1 T_2)) ### All 14 % 12.86/13.07 16. (distinct_lines T_0 (parallel_through_point T_1 T_2)) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All Y, (All Z, ((distinct_lines T_0 Y) => ((distinct_lines T_0 Z) \/ (distinct_lines Y Z))))) ### All 15 % 12.86/13.07 17. (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (distinct_lines T_0 (parallel_through_point T_1 T_2)) ### All 16 % 12.86/13.07 18. (-. (-. (distinct_lines T_0 (parallel_through_point T_1 T_2)))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) ### NotNot 17 % 12.86/13.07 19. (-. (equal_lines T_0 (parallel_through_point T_1 T_2))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) ### Definition-Pseudo(equal_lines) 18 % 12.86/13.07 20. (parallel_lines T_0 T_1) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (-. (equal_lines T_0 (parallel_through_point T_1 T_2))) ### Definition-Pseudo(parallel_lines) 19 % 12.86/13.07 21. (-. (((incident_point_and_line T_2 T_0) /\ (parallel_lines T_0 T_1)) => (equal_lines T_0 (parallel_through_point T_1 T_2)))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) ### ConjTree 20 % 12.86/13.07 22. (-. (All Z, (((incident_point_and_line T_2 T_0) /\ (parallel_lines T_0 Z)) => (equal_lines T_0 (parallel_through_point Z T_2))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) ### NotAllEx 21 % 12.86/13.07 23. (-. (All Y, (All Z, (((incident_point_and_line T_2 Y) /\ (parallel_lines Y Z)) => (equal_lines Y (parallel_through_point Z T_2)))))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) ### NotAllEx 22 % 12.86/13.07 24. (-. (All X, (All Y, (All Z, (((incident_point_and_line X Y) /\ (parallel_lines Y Z)) => (equal_lines Y (parallel_through_point Z X))))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) ### NotAllEx 23 % 12.86/13.07 % SZS output end Proof % 12.86/13.07 (* END-PROOF *) %------------------------------------------------------------------------------